475431832152 has 640 divisors, whose sum is σ = 1503412416000. Its totient is φ = 139676866560.

The previous prime is 475431832151. The next prime is 475431832177. The reversal of 475431832152 is 251238134574.

475431832152 is a `hidden beast` number, since 4 + 7 + 5 + 4 + 318 + 321 + 5 + 2 = 666.

It is a super-2 number, since 2×475431832152² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 475431832098 and 475431832107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475431832151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2253231327 + ... + 2253231537.

It is an arithmetic number, because the mean of its divisors is an integer number (2349081900).

Almost surely, 2^475431832152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475431832152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751706208000).

475431832152 is an abundant number, since it is smaller than the sum of its proper divisors (1027980583848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

475431832152 is a wasteful number, since it uses less digits than its factorization.

475431832152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 475431832152 in words is "four hundred seventy-five billion, four hundred thirty-one million, eight hundred thirty-two thousand, one hundred fifty-two".